Hypotheses testing on infinite random graphs
Machine Learning
2017-08-11 v1 Information Theory
math.IT
Statistics Theory
Machine Learning
Statistics Theory
Abstract
Drawing on some recent results that provide the formalism necessary to definite stationarity for infinite random graphs, this paper initiates the study of statistical and learning questions pertaining to these objects. Specifically, a criterion for the existence of a consistent test for complex hypotheses is presented, generalizing the corresponding results on time series. As an application, it is shown how one can test that a tree has the Markov property, or, more generally, to estimate its memory.
Keywords
Cite
@article{arxiv.1708.03131,
title = {Hypotheses testing on infinite random graphs},
author = {Daniil Ryabko},
journal= {arXiv preprint arXiv:1708.03131},
year = {2017}
}